A 4000 initial deposit in a bank account grows continuously according to the formula, B(t)=4000e^0.05t ,Where B is the amount in the bank t years after 2012. Evaluate B(9) and explain the meaning of your answer in practical terms. What is the continuous interest rate? Find the effective annual interest rate. Would you rather have the investment initially described or the same 4000 but invested at an interest rate of 6% compounded monthly and Why?

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ISBN:9780470458365
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A 4000 initial deposit in a bank account grows continuously according to the formula, B(t)=4000e^0.05t ,Where B is the amount in the bank t years after 2012. Evaluate B(9) and explain the meaning of your answer in practical terms. What is the continuous interest rate? Find the effective annual interest rate. Would you rather have the investment initially described or the same 4000 but invested at an interest rate of 6% compounded monthly and Why?
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